Group GAP4(96,189)

Name: C2 x GL(2,3)
Maximal quotients:GAP4(48,29) GAP4(48,48)
Real polynomial:
x^96-432*x^94+85752*x^92-10461312*x^90+884303208*x^88-55328780160*x^86+26715\
66969024*x^84-102447257773824*x^82+3185531404114752*x^80-81583495084200960*x\
^78+1741835442507798528*x^76-31298590806242512896*x^74+476922180398250624000\
*x^72-6200445503776737116160*x^70+69117581991538066341888*x^68-6632374917518\
92071972864*x^66+5496000883162739476586496*x^64-39428791920565142884319232*x\
^62+245362367262135086369865728*x^60-1326303571370400615524990976*x^58+62333\
72549486443886348795904*x^56-25483326765796899768392220672*x^54+906271317241\
23250964788936704*x^52-280255799757117631472823435264*x^50+75296705206342069\
0009105367040*x^48-1755301491866107090334631591936*x^46+35440527766425514670\
82636066816*x^44-6183245775011404294915557949440*x^42+9295200250643057864689\
877778432*x^40-11998654194075104328558820982784*x^38+13245702392227641516853\
467021312*x^36-12446241719329146999212982927360*x^34+99008491602132918528552\
15390720*x^32-6626856620791932738120796078080*x^30+3706214978773413873933059\
358720*x^28-1718511421414706018128867885056*x^26+654868675180407843935878119\
424*x^24-203048620737717947256205737984*x^22+50640874643878800588628033536*x\
^20-10023545886065935862030401536*x^18+1549598313402831764981809152*x^16-183\
542384723020676503437312*x^14+16272675033468545695481856*x^12-10499668438578\
96185266176*x^10+47656417660277285191680*x^8-1457510467533168181248*x^6+2819\
9385823803604992*x^4-307792887033102336*x^2+1424967069597696
Common denominator of the automorphisms:
7923822993877179511102161285257679301112377470980148840133225383202810403934\
3228809552200389344134485778817693299706327304349686155196685644175982827914\
6873468459102158280243671240833057834695583521087255362088670618999251640316\
745086111557443649536000
Complex polynomial:
x^96+688848*x^84+15851436*x^72+40588976*x^60+38247414*x^48+5977392*x^36-5195\
6*x^24-2736*x^12+81
Common denominator of the automorphisms:
509387866822511475482391552

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.